Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes

A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group. De Falco et al. (respectively, de Giovanni and Trombetti) studied groups w...

Full description

Bibliographic Details
Main Authors: Mounia Bouchelaghem, Nadir Trabelsi
Format: Article
Language:English
Published: University of Isfahan 2016-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/article_8776_ca0b92d4179fde3b3ca79f8b4a3ed6ce.pdf